The local behaviour of open, light mappings satisfying generalized modular inequalities

ABSTRACT

We continue the study of open, discrete mappings satisfying generalized modular inequalities, namely the distortion and the equicontinuity of such mappings. We apply these results to certain Sobolev mappings. In the last section we study the local behaviour of open, light mappings on general metric measure spaces.

Keywords:

• Generalizations of quasiregular mappings
• special classes of Sobolev mappings

AMS SUBJECT CLASSIFICATIONS:

• 30C65
• 26B35

Disclosure statement

No potential conflict of interest was reported by the author(s).